Application of Abstract Differential Equations to Some Mechanical Problems (Paperback, Softcover reprint of the original 1st ed. 2003)

PREFACE The theory of differential-operator equations has been described in various monographs, but the initial physical problem which leads to these equations is often hidden. When the physical problem is studied, the mathematical proofs are either not given or are quickly explained. In this book, we give a systematic treatment of the partial differential equations which arise in elastostatic problems. In particular, we study problems which are obtained from asymptotic expansion with two scales. Here the methods of operator pencils and differential-operator equations are used. This book is intended for scientists and graduate students in Functional Analy sis, Differential Equations, Equations of Mathematical Physics, and related topics. It would undoubtedly be very useful for mechanics and theoretical physicists. We would like to thank Professors S. Yakubov and S. Kamin for helpfull dis cussions of some parts of the book. The work on the book was also partially supported by the European Community Program RTN-HPRN-CT-2002-00274. xiii INTRODUCTION In first two sections of the introduction, a classical mathematical problem will be exposed: the Laplace problem. The domain of definition will be, on the first time, an infinite strip and on the second time, a sector. To solve this problem, a well known separation of variables method will be used. In this way, the structure of the solution can be explicitly found. For more details about the separation of variables method exposed in this part, the reader can refer to, for example, the book by D. Leguillon and E. Sanchez-Palencia LS]."

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 558
Release date:	September 2012
First published:	2003
Authors:	I. Titeux • Yakov Yakubov
Dimensions:	240 x 160 x 12mm (L x W x T)
Format:	Paperback
Pages:	209
Edition:	Softcover reprint of the original 1st ed. 2003
ISBN-13:	978-9401037846
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Physics > Classical mechanics > General Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General
LSN:	9401037841
Barcode:	9789401037846

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